105166384 has 20 divisors (see below), whose sum is σ = 210333760. Its totient is φ = 50886720.

The previous prime is 105166381. The next prime is 105166393. The reversal of 105166384 is 483661501.

It is a happy number.

105166384 is an admirable number.

It is a super-3 number, since 3×105166384³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105166381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105519 + ... + 106510.

It is an arithmetic number, because the mean of its divisors is an integer number (10516688).

Almost surely, 2^105166384 is an apocalyptic number.

It is an amenable number.

105166384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105166384 is a wasteful number, since it uses less digits than its factorization.

105166384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212068 (or 212062 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 105166384 is about 10255.0662601467. The cubic root of 105166384 is about 472.0184566181.

It can be divided in two parts, 10516 and 6384, that added together give a square (16900 = 130²).

The spelling of 105166384 in words is "one hundred five million, one hundred sixty-six thousand, three hundred eighty-four".